Errata for Gravity: An Introduction to Einstein s General Relativity, Printings 1-3, B: typos, etc.

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1 Errata for Gravity: An Introduction to Einstein s General Relativity, Printings 1-3, B: typos, etc. Updated 11/18/2004 The errata that were not corrected in the in the first three printings have been divided into two parts: First, a list (A) of changes that affect the meaning, clarity or correctness of the text. Second, this list (B), of typos, mispellings, punctuation errors, repeated words, etc which do not change the meaning of the text. Thanks are due to Florian Colbatzky who supplied most of these and to Eric Corsini, Katherine Holley, and Mario Serna,. xv, 8: Replace the the with the. xiv, credit for figure in Box 6.2: Replace with Courtesy of Robert Nelson. 5, Figure 1.1: In the figure, replace laboratorymeasurement with laboratory measurement (missing space). 35, Box 3.1, 6: Replace Observing the the with Observing the. 37, Box 3.2, 5 from bottom: Replace of the another kind with of another kind. 43, 3 above (3.36): Replace maxima by local maxima, and minima by local minima. 43, last line: Replace the the with the. 54, Figure 4.7: Replace paths of the light pulse travels with path the light pulse travels. 56, 4 before (4.8): Replace the the line with the line. 57, 1 after (4.9): Replace on the the plane with on the plane. 61, Box4.3, 8: Replace outward an an with outward at an. 65, 10 of second paragraph: Replace occur the same place with occur at the same place. 74, Problem 9: Replace Consider two twins... with Consider twins... 1

2 92, 3 above (5.71): Replace of a a photon with of a photon. 93, 1 above (5.75): Replace shows with shows that. 95, Box 5.1, 2 after (d) : Replace with at with at. 96, caption for Figure 5.10, last line: Replace referred to on the with referred to the. 108, caption for Fig 6.1, 8: Replace to the a line with to the line. 111, 2nd par, 5: Delete comma before etc. 111, 2nd par, 7: Replace or at rest with or are at rest. 122, caption for Fig 6.9: Replace are with is. 130, Box 6.2, 9 1st col: Replace combined both a test both of time with combined a test of both time (ie delete one both ). 136, eq (7.5): Delete period at the end. 148, eq (7.39): Delete period at the end. 152, 2nd par in 7.8, 1: Insert they between there and obey. 161, Figure 7.9, 4: Replace and the its position with and the position. 177, par above (8.30), 2: Replace the the by the. 191, 1st par of 9.3, 3: Replace of an the with of an 198, Fig 9.4, 5: Replace infinity by infinity,. ie add comma. 200, eq(9.44): Comma at end not a period. 201, eq(9.50): Delete period at the end. 206, 2nd par, 2: Replace depend with depends. 207, caption to Figure 9.8: heavy doted lines should be heavy dotted lines. 208, Fig 9.9, 3 from bottom: Replace angle to not with angle do not. 211, eq(9.78): Add comma at end. 2

3 216, Prob 15, 2: Replace swept out by in by swept out in. Also in the same line replace be be by be. 219, 3rd par, 3: Replace these these by these. 222, 3rd par, 3: Replace showed the predictions with showed that the predictions. 233, table in Problem 5: In the bottom line of the fourth column 1.00 should be , 4 from bottom of text: Replace considerd with considered. 238, 5l from bottom: Replace is beautiful with is a beautiful. 239, 5 from bottom: Replace at an angular separation β from the lens and with at an angular separation β from the lens (i.e. at the location of the source) and 239, 2 from bottom: Replace that the a light with that the light. 240, 2 from bottom of text: Replace subtended by star with subtended by the star. 245, rt.col. 7 from bottom: Change 6 1. into 1 6 (not a case fraction to save space, and no period after 1/6). 248, (11.25): comma after equation. 249, 1st par, 8: Replace the the size with the size. 350, caption for Figure 17.3: Replace Fixen by Fixsen. 256, 2 from bottom: Replace the the Newtonian with the Newtonian. 264, Fig from bottom: Replace The orientations.. with The orientation , Fig 12.6, 4 from bottom: Replace The heavily shaded with with The heavily shaded region with. 272, Fig 12.7, 5 from top: Replace line is given by line given. 3

4 281, first bullet, 4: Replace on orbit with on the orbit. 284, eq(13.3): comma after equation. 287, Fig 13.4, 1 from bottom: Replace consistent at with consistent with a 290, Box 13.1: Periods after eqns (a) and (b). 293, line after (13.15): Replace at which black hole with at which the black hole. 302, eq(14.18): Delete period at the end. 303, 1 from top: Replace the the body s with the body s. 307, eq(14.34): Delete period at end. 307, 3 in Example 14.1: Replace the the asymptotic with the asymptotic. 321, last line: Replace burning (see with burning. (See. 333, 2nd par in 16.2, 2: Replace test mass in frame with test mass in a frame. 340, Fig 16.4, 5: Replace of an exactly monochromatic waves with of exactly monochromatic waves. 342, 3rd par of 16.5, 7: Replace of symmetries the flat with of the symmetries of the flat. 351, Fig 17.4, last line. Replace the matter that with as the matter that 355, 2nd par, 3: Replace well.) with well).. 356, line above (17.11): Replace magnitude is with magnitude m is. 356, 2 from bottom: Replace their periods with the periods of their variation. (clearer). 357, Fig 17.8: Replace 14, 000 with 14,000. (no space). 363, footnote 2, 2: Replace the the same with the same. 364, Fig 17.14, 2: Replace with 220,929, ie insert comma. 4

5 368, 3: Replace with 17.2)., ie complete parentheses. 370, eq(18.12): Replace comma at end with period. 371, eq(18.15): Replace period at end with comma. 372, subsection title: Replace Thermodyanmics with Thermodynamics (misspelled). 374, 4 after (18.24): Replace turn out with turns out from top left: Replace abundance of the various... was then with abundances of the various... were then. 375, 7 from top left: Replace abundance of neutrino species with abundances of neutrino species. 375, 18 right: Replace abundance of neutrinos with abundances of neutrino. 375, 5 from bottom of text right: Replace primoidial abundance with primoidial abundances. 376, 3 from top: Replace oftenwritten with often written. 376, 2nd par, 4: Replace exactly that same with exactly the same. 378, Fig 18.3, 4 from bottom: Replace zero energy with zero-energy. 379, 3 from bottom of text: Replace various type of with various types of. 380, Example 18.2, 1: Replace primoidial abundance of the elements is with primoidial abundances of the elements are. 381, Box 18.2, 4 above bottom left: Replace Problem 28.) with Problem 28). ie interchange period and paren. 389, 8 after (18.68): Replace impossible determine with impossible to determine. 394, Fig 18.9, 5 from bottom: Replace the the potential with the potential. 394, Fig 18.9, last line: Replace is shown with are shown. 5

6 401, 5 from bottom on left: Replace primoidial abundance of the elements is with primoidial abundances of the elements are. 402, 10 from top: Replace consistent with with with consistent with. 405, 5 from bottom: Replace 375.) with 375). 407, Fig 19.3: The vertical axis should be labeled by η not t (at the very top of the figure.) 407, Fig. 19.3, 4 from bottom: Replace defines of the universe with defines the largest volume of the universe. 408 eq(19.10): Replace period at end with comma. 408, 4 after (19.11): Replace.) with ).. 408, 4 from bottom: Replace.) with ).. 412, Box 19.2, 2 left: Replace a a rapid with a rapid. 418, last par right, 7: Replace abundance with abundances. 427, section 20.2, par1, 4 : Replace nonscaler with nonscalar (mispelling) 431, Fig. 20.2: in the figure tε the ε should not be bold. 446, last line, and 448, 1st line: Replace nearby particles at one time... for at later times with nearby particles at one time, and its rate of change, (21.5) can be used to calculate the separation for later times (ie add a phrase (if space)) and change at for to for. of for at later times 453, line after equ. (21.25): (misspelling) Newtonian inst. of Newtionian 453, line before equ. (21.26): as inst. of as: (for consistency with the other text) 453, last line: the Γ s will be inst. of the Γs will be ie apostrophe between Γ and the s 458, equ. (21.36b): Replace period at end with comma 459, footnote: Add period at the end of the sentence. 6

7 463, equ. (21.58): Replace period with comma 464, equ. (21.60): Add comma at end 464, line before equ. (21.63): superposing waves like inst. of superposing the waves like? 464, 2 lines before equ. (21.65): has already been assumed inst. of has been already been assumed 473, ex. 22.1, line 2: idea of the density inst. of idea of a the density 479, 2 lines before equ. (22.36) energy density ρ inst. of energy density, ρ ie delete comma as in rest of sentence. 486, last par., line 3: the repeated 499, 2 lines after equ. (23.33): we assume that the stress-energy tensor inst. of we assume stress-energy tensor 506, 8 lines before equ. (23.50): Delete comma after in (23.35) 509, Fig. 23.3, line before last line: The effects... have inst. of The effect... have 519, 3 lines before equ. (24.7a): the repeated 519, 2 lines before equ. (24.7a): relativistic repeated 520, last par., 1st line: We assume that the matter inst. of We assume the matter? 530, footnote 5, line 1: (misspelling) work through inst. of work though 532, Fig , line 1: the repeated 533, 3rd par., line 1: extremum instead of extrema. 536, 2 lines after equ. (24.29): (misspelling) through Problem 19 inst. of though Problem , Fig , line 2: and repeated. 7